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Finding the Fourth Proportional to 612.68, 919.08 and 179.83

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Solution

The fourth proportional to 612.68, 919.08 and 179.83 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.68 : 919.08 = 179.83 : x
  2. Step 2: Convert to fraction form
    612.68/919.08 = 179.83/x
  3. Step 3: Cross multiply
    612.68x = 919.08 × 179.83
  4. Step 4: Simplify right side
    612.68x = 165,279.31
  5. Step 5: Solve for x
    x = 165,279.31/612.68
  6. Step 6: Final answer
    x = 269.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.